Heshan Pathirannehelage
Department of Mathematics and Statistics
Assistant Professional Lecturer
Education
Ph.D in Mathematics, University of Florida, 2023
About Dr. Pathirannehelage
Heshan is a Lecturer in the Department of Mathematics and Statistics at the University of Wyoming. He completed his Ph.D. in Mathematics at the University of Florida in 2023. Prior to joining UW, he held visiting positions at Sam Houston State University and Willamette University in Oregon.
His research interests lie at the intersection of discrete probability and analysis, with a focus on functional inequalities and extremum problems involving convexity. His recent work has focused on the connection between coalescent and branching processes, particularly phase transition phenomena in these settings, as well as discrete log-concave distributions with applications to convex geometry and information theory.
In addition to his mathematics research, he is interested in pedagogy and the history of mathematics.
Representative Publications
- A note on the maximum probability of ultra log-concave distributions, Statistics & Probability Letters, Vol 223, 110418, 2025.
- Gelation in vector multiplicative coalescence and extinction in multi-type Poisson branching processes, Preprint, arXiv:2409.06910, 2024 (with Y. Kovchegov, P. Otto and A. Sarkar)
- On a conjecture of Feige for discrete log-concave distributions. SIAM J. Discrete Math. 38(1), 93–102, 2024 (with A. Alqasem, A. Marsiglietti and J. Melbourne)
- Entropy-variance inequalities for discrete log-concave random variables via degree of freedom, Discrete Math., 347(1), 113683, 2024.
- Concentration inequalities for ultra log-concave distributions, Studia Mathematica, 265, 111-120, 2022 (with A. Marsiglietti and J. Melbourne)
